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carpetDet -- compute the determinant of the crucial constant strand of a carpet X(a,b)

Synopsis

Description

We compute nonminimal resolution F of the carpet of type (a,b) over a finite prime field, Lift this to a resolution over ZZ, introduce the fine grading, grep the various blocks of the crucial map in the a-th strand, compute their determinants and return their product.

i1 : a=4,b=4

o1 = (4, 4)

o1 : Sequence
i2 : d=carpetDet(a,b)
 -- 0.00786814 seconds elapsed
 -- 0.0336708 seconds elapsed
 -- 0.000230016 seconds elapsed
 -- 0.000225181 seconds elapsed
 -- 0.000180585 seconds elapsed
 -- 0.000171847 seconds elapsed
 -- 0.000177465 seconds elapsed
 -- 0.000176854 seconds elapsed
 -- 0.00021544 seconds elapsed
 -- 0.000218864 seconds elapsed
 -- 0.000202518 seconds elapsed
 -- 0.000195089 seconds elapsed
 -- 0.000173644 seconds elapsed
 -- 0.000187155 seconds elapsed
 -- 0.000181245 seconds elapsed
 -- 0.000180248 seconds elapsed
 -- 0.000184855 seconds elapsed
 -- 0.0001682 seconds elapsed
 -- 0.000187013 seconds elapsed
 -- 0.000200919 seconds elapsed
 -- 0.000190568 seconds elapsed
 -- 0.000188534 seconds elapsed
 -- 0.000192974 seconds elapsed
 -- 0.000179028 seconds elapsed
 -- 0.000174846 seconds elapsed
 -- 0.000179011 seconds elapsed
 -- 0.000176795 seconds elapsed
 -- 0.000172495 seconds elapsed
(number Of blocks, 26)
1
1
1
1
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
1
1
1
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :

For the programmer

The object carpetDet is a method function.